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3 years ago

Can someone help me figure this one out please?

Mathematics

1 answer:

Illusion [34]3 years ago

7 0

Answer:

Linear equations

Step-by-step explanation:

An easy and simple equation. F(t) = -15t +300

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Ryan has 4 cups of grape juice, and Kelsey has 7 cups of lemonade. They want to combine what they have to make punch. How many 1

BaLLatris [955]

16 1/2 cup servings if they are putting the grape juice and the lemonade together then that adds up to be 8 and then you have to fine how many 1/2 cups you can get out of 8 which is going to be twice as much so it's 16

7 0

3 years ago

How is the series 5+11+17…+251 represented in summation notation?

NISA [10]

Answer:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

Step-by-step explanation:

Given:

Series 5+11+17+...+251

To find:

Summation notation of the given series

Summation Notation:

$\displaystyle \large{\sum_{k=1}^n a_k}$

Where n is the number of terms and $\displaystyle \large{a_k}$ is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

Arithmetic Series

A series that has common difference.

Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

11-5 = 6
17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

$\displaystyle \large{a_n=a_1+(n-1)d}$

Where $\displaystyle \large{a_n}$ is the nth term, $\displaystyle \large{a_1}$ is the first term and $\displaystyle \large{d}$ is the common difference:

So for our general term:

$\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}$

And for number of terms, substitute $\displaystyle \large{a_n}$ = 251 and solve for n:

$\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}$

Now we can convert the series to summation notation as given the formula above, substitute as we get:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

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2 years ago

There are 970 students in bayton high school. Brian takes a random sample of 100 students. He asks these 100 students which subj

Pani-rosa [81]

Answer:

How to do the estimation

Step-by-step explanation:

He can use the probability of how many people chose English and multiply by 9.7 since there are 970 people / 100 people who asked = 9.7

7 0

3 years ago

What is 40 multiplied by 10

andreev551 [17]

400 id your answer.

Thanks for the points

6 0

3 years ago

Read 2 more answers

15X^2+20x factor greatest common monomial

velikii [3]

Both 15 and 20 can be divided evenly by 5, so 5 is the greatest common monomial: 5(3x^2 + 4x) or 5x(3x + 4)

4 0

3 years ago